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Finding the Fourth Proportional to 5,870.58, 8,794.98 and 4,201.26

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Solution

The fourth proportional to 5,870.58, 8,794.98 and 4,201.26 is: 6,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.58 : 8,794.98 = 4,201.26 : x
  2. Step 2: Convert to fraction form
    5,870.58/8,794.98 = 4,201.26/x
  3. Step 3: Cross multiply
    5,870.58x = 8,794.98 × 4,201.26
  4. Step 4: Simplify right side
    5,870.58x = 36,949,997.67
  5. Step 5: Solve for x
    x = 36,949,997.67/5,870.58
  6. Step 6: Final answer
    x = 6,294.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.